GCD of 726, 495, 943 Calculator

Given Input numbers are 726, 495, 943

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Greatest Common Divisior

We found the divisors of 726, 495, 943 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 495, 943 is 1.

Therefore, GCD of numbers 726, 495, 943 is 1

Given Input Data is 726, 495, 943

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 943 is 23 x 41

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(726, 495) = 10890

GCD(726, 495) = ( 726 x 495 ) / 10890

GCD(726, 495) = 359370 / 10890

GCD(726, 495) = 33

Step2:

Here we consider the GCD from the above i.e. 33 as first number and the next as 943

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(33, 943) = 31119

GCD(33, 943) = ( 33 x 943 ) / 31119

GCD(33, 943) = 31119 / 31119

GCD(33, 943) = 1

GCD of 726, 495, 943 is 1

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1. What is the GCD of 726, 495, 943?

GCD of 726, 495, 943 is 1

2. Where do I get the detailed procedure to find GCD of 726, 495, 943?

You can find a detailed procedure to find GCD of 726, 495, 943 on our page.

3. How to find GCD of 726, 495, 943 on a calculator?

You can find the GCD of 726, 495, 943 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.